Is it possible to have a "stand-alone" Torah service, not connected to a statutory prayer? I saw this done on Shavuot once, where some people who slept through davening convened a minyan solely for the purpose of hearing the aseret ha-dibrot read, and did a three-aliyah kriat ha-torah. Anyone know how this works, if at all?
Clarification based on the OP's comments (@VincentCalabrese):
What I'm most interested in is the possibility of a kriat ha-torah with no connection to the prescribed reading cycle; if I had some urge to read shirat ha-yam today [or any day] could I get a minyan together to do it? That sort of thing. Any idea on whether that's possible?
What are the circumstances in which a stand-alone Torah service can be preformed and what is the procedure?